1001201221121 has 2 divisors, whose sum is σ = 1001201221122. Its totient is φ = 1001201221120.

The previous prime is 1001201221051. The next prime is 1001201221193. The reversal of 1001201221121 is 1211221021001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 876142800625 + 125058420496 = 936025^2 + 353636^2 .

It is a cyclic number.

It is not a de Polignac number, because 1001201221121 - 2³⁸ = 726323314177 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1001201221096 and 1001201221105.

It is not a weakly prime, because it can be changed into another prime (1001201221621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500600610560 + 500600610561.

It is an arithmetic number, because the mean of its divisors is an integer number (500600610561).

Almost surely, 2^{1001201221121} is an apocalyptic number.

It is an amenable number.

1001201221121 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001201221121 is an equidigital number, since it uses as much as digits as its factorization.

1001201221121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 1001201221121 its reverse (1211221021001), we get a palindrome (2212422242122).

The spelling of 1001201221121 in words is "one trillion, one billion, two hundred one million, two hundred twenty-one thousand, one hundred twenty-one".